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Finding the Third Proportional to 463,052 and 1,014,651

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Solution

The third proportional to 463,052 and 1,014,651 is: 2,223,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,052 : 1,014,651 = 1,014,651 : x
  2. Step 2: Convert to fraction form
    463,052/1,014,651 = 1,014,651/x
  3. Step 3: Cross multiply
    463,052x = 1,014,651 × 1,014,651
  4. Step 4: Simplify right side
    463,052x = 1,029,516,651,801
  5. Step 5: Solve for x
    x = 1,029,516,651,801/463,052
  6. Step 6: Final answer
    x = 2,223,328.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.